Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(5 + -2\right)\left(-4 - 2\right) - 2\left(-1 - -1\right) $$
Correct Answer
$$ -18$$ or -18.0000

2. Simplify 2

Simplify the following expression: $$ 2\frac{-6}{3}\left(2 - -4 + 4\times5\right) $$
Correct Answer
$$ -104$$ or -104.000

3. Fractions 1

Simplify the following expression: $$ \frac{2}{3} + \frac{-3}{5} $$
Correct Answer
$$ \frac{1}{15}$$ or 0.06666666666666665

4. Fractions 2

Simplify the following expression: $$ \frac{4}{3}\frac{1}{5} $$
Correct Answer
$$ \frac{4}{15}$$ or 0.26666666666666666

5. Significant figures

1. Write the following to 2 significant figures: 0.000054231455
Correct Answer
0.000054 or $$5.4\times10^{-5}$$
2. Write the following to 4 significant figures: 382.66398
Correct Answer
382.7 or $$3.827\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 236463
Correct Answer
$$2.36\times10^{5}$$
2. Write the following in standard form to 2 significant digits: 139.315
Correct Answer
$$1.4\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 134.72
Correct Answer
$$135\times10^{0}$$
2. Write the following in preferred standard form to 2 significant digits: 0.000412
Correct Answer
$$410\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2(-5)3}{\left(-6 - 6\right){(-1)}^{-4}} $$
Correct Answer
$$ \frac{5}{2}$$ or 2.50000

9. Simplify 1

Simplify the following expression: $$ {\left(-3 + -1\right)}^{2} - \left(5 - 5\right)\left(-2 + 1\right) $$
Correct Answer
$$ 16$$ or 16.0000

10. Simplify 2

Simplify the following expression: $$ \left(1 + 6\right)\left(-3 + -3\right) - {\left(\frac{5}{3}\right)}^{2} $$
Correct Answer
$$ -42 - {\left(\frac{5}{3}\right)}^{2}$$ or -44.7778


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